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Finding the Fourth Proportional to 47,646.47, 71,455.06 and 32,949.83

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Solution

The fourth proportional to 47,646.47, 71,455.06 and 32,949.83 is: 49,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646.47 : 71,455.06 = 32,949.83 : x
  2. Step 2: Convert to fraction form
    47,646.47/71,455.06 = 32,949.83/x
  3. Step 3: Cross multiply
    47,646.47x = 71,455.06 × 32,949.83
  4. Step 4: Simplify right side
    47,646.47x = 2,354,432,079.64
  5. Step 5: Solve for x
    x = 2,354,432,079.64/47,646.47
  6. Step 6: Final answer
    x = 49,414.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.